The length of a square is 4x-3. Find the area in terms of x

The area of square in terms of x = 16x² - 24x + 9

Step-by-step explanation:

It is stated in the question that the length of a square = 4x - 3

Formula to find the area of the square is

Area = length²

Area = (4x - 3) ²

by using (a - b) ² = a² + b² - 2ab

here a = 4x and b = - 3

So,

(4x) ² + (-3) ² - 2 (4x) (3)

16x² + 9 - 2 (12x)

16x² + 9 - 24x

16x² - 24x + 9

The area of square in terms of x = 16x² - 24x + 9